Here is a data set (n=117) that has been sorted:

44.2 44.3
51.3 51.9
45.1 45.7 48.3
52 52.1
55.6 55.6 56.3 56.3
54
57.6 57.7 57.8
56.5
58 58.1
59.2 59.4 59.9 59.9 60.2
61.2 61.3 62.7 63.1
63.2
65.1
66.8
64.8 64.8 64.9 65.1
66.6 66.7 66.7 66.7
67.7 67.8 67.8
69.2 69.2
69.1
69.2 69.2
70.7 71.2 71.2 71.3 71.3
68
68.1
73
73.2
78.4
79.7
72.8
78.2

Find the 47th-Percentile:

P47 =

F

73.5
80
50.4
48.5 49.8 49.9
54.1 54.4
54.1
55.2
56.6
56.7
57 57.5
58.1 58.3
58.4
59.2
60.4 60.7
61.2
61.2
63.3
63.5 63.5
64.4
65.1 65.5 66.4
66.4
66.9
67.1
67.2
67.6
68.3 68.3
68.5 68.9
69.3 69.4
70.4
70.6
71.8
71.8
72.2
72.4
73.6 75.2 76.2
77.4
80
80.8 84.3
85.8
77.6
89.3

When a measure is in the xth percentile of a data-set, it is greater than x% of the measures and lesser than (100 - x)%. Hence, to find the xth percentile of a data-set of n elements, we have to find the element at position (x/100) x n, as is the case in this problem.

In this problem, we have a data-set of 117 elements, hence the position of the 47th percentile in the sorted data-set is:

0.47 x 117 = 55.

The 47th percentile of the data-set is the 55th element of the sorted data-set, which is of 64.8.

More can be learned about percentiles at https://brainly.com/question/24495213

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